Embedding dendriform algebra into its universal enveloping Rota-Baxter algebra

DOI10.1090/S0002-9939-2011-10889-XzbMath1254.17001arXiv1005.2717MaRDI QIDQ3103889

Qiuhui Mo, Yuqun Chen

Publication date: 13 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2717

zbMATH Keywords

universal enveloping algebraGröbner-Shirshov basisdendriform algebraRota-Baxter algebra

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Nonassociative algebras satisfying other identities (17A30) Associative rings and algebras with additional structure (16W99)

Related Items (8)

Universal enveloping of (modified) λ-differential Lie algebras ⋮ Unnamed Item ⋮ Embedding of dendriform algebras into Rota-Baxter algebras ⋮ Totally compatible associative and Lie dialgebras, tridendriform algebras and PostLie algebras ⋮ Gröbner–Shirshov bases and their calculation ⋮ Universal enveloping associative Rota-Baxter algebras of preassociative and postassociative algebra ⋮ Rota–Baxter coalgebras and Rota–Baxter bialgebras ⋮ RELATIVE ROTA–BAXTER OPERATORS AND TRIDENDRIFORM ALGEBRAS

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• Conformal representations of Leibniz algebras
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